Supersymmetric matrix models and branched polymers

J. Ambjorn; Y. Makeenko; K. Zarembo

doi:10.1016/s0550-3213(96)00526-3

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arXiv · cond-mat/9606041

Supersymmetric matrix models and branched polymers

J. Ambjorn·Y. Makeenko·K. Zarembo

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Abstract

We solve a supersymmetric matrix model with a general potential. While matrix models usually describe surfaces, supersymmetry enforces a cancellation of bosonic and fermionic loops and only diagrams corresponding to so-called branched polymers survive. The eigenvalue distribution of the random matrices near the critical point is of a new kind.

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J. Ambjorn, Y. Makeenko, K. Zarembo. 1996-06-07. Supersymmetric matrix models and branched polymers. https://doi.org/10.1016/s0550-3213(96)00526-3

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